Finding the Third Proportional to 23,116 and 37,228

Step by Step Solution

1. Step 1: Write the proportion equation
   23,116 : 37,228 = 37,228 : x
2. Step 2: Convert to fraction form
   23,116/37,228 = 37,228/x
3. Step 3: Cross multiply
   23,116x = 37,228 × 37,228
4. Step 4: Simplify right side
   23,116x = 1,385,923,984
5. Step 5: Solve for x
   x = 1,385,923,984/23,116
6. Step 6: Final answer
   x = 59,955.18